Question

The area of the base of the rectangular prism is 20 x 18
The area of the first triangle is: b = 20 and the slant height. Is 16.6
The second triangle is: b=18 and the slant height is = 17.2

What is the surface of the rectangular pyramid? 

(1 point)
Responses

1,001.6 cm2
1,001.6 cm squared

1,178.8 cm2
1,178.8 cm squared

102,787.2 cm2
102,787.2 cm squared

1,643.2 cm2

Answer 1

To find the surface area of the rectangular pyramid, we'll first need to calculate the area of the base and then the areas of the triangular sides.

1. **Calculate the Area of the Base**:
- The base is a rectangle with dimensions 20 cm and 18 cm.
- Area of the base = length × width = 20 cm × 18 cm = 360 cm².

2. **Calculate the Area of the Triangular Faces**:
- There are two triangles with base 20 cm and slant height 16.6 cm.
- Area of the first triangle = (1/2) × base × height = (1/2) × 20 cm × 16.6 cm = 166 cm².
- There are two triangles with base 18 cm and slant height 17.2 cm.
- Area of the second triangle = (1/2) × base × height = (1/2) × 18 cm × 17.2 cm = 154.8 cm².

3. **Total Area of the Triangles**:
- Total area of the triangular faces = 2*(166 cm²) + 2*(154.8 cm²) = 332 cm² + 309.6 cm² = 641.6 cm².

4. **Total Surface Area of the Pyramid**:
- Total surface area = Area of the base + Total area of the triangular faces = 360 cm² + 641.6 cm² = 1001.6 cm².

Therefore, the surface area of the rectangular pyramid is **1,001.6 cm²**.

So the correct answer is:

**1,001.6 cm²**.